Subgroups — #26224372

Order 12032.

882 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246130	C₂	1	1	yes	maximal, characteristic, complemented
2	#20246114	C₂	1	1	yes	maximal, characteristic
3	#20244354	C₂	1	1	yes	maximal, characteristic, complemented
4	#20244195	C₂	1	1	yes	maximal, characteristic
5	#20244087	C₂	1	2	yes	maximal, complemented
6	#20244073	C₂	1	2	yes	maximal, complemented
7	#20243522	C₂	1	1	yes	maximal, characteristic, complemented
8	#20243215	C₂	1	2	yes	maximal, complemented
9	#102×Dic₄₇	C₂	1	2	yes	maximal, complemented
10	#20243076	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₄₇×#490	C₂	1	1	yes	maximal, characteristic
12	C₂×D₄×Dic₄₇	C₂²	1	2	yes	—
13	C₂×#13093945	C₂²	1	2	yes	—
14	C₂×#13093945	C₂²	1	2	yes	—
15	C₂×#13093934	C₂²	1	1	yes	characteristic
16	C₂×#13093934	C₂²	1	1	yes	characteristic
17	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
19	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
20	#15689026	C₂²	1	2	yes	—
21	#15689022	—	2	2	no	—
22	#15689022	C₂²	1	2	yes	—
23	#15689009	—	2	2	no	—
24	#15689003	—	2	2	no	—
25	#15689003	—	2	2	no	—
26	#15688993	C₂²	1	1	yes	characteristic
27	#15688989	C₂²	1	1	yes	characteristic
28	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
29	#15688969	C₂²	1	1	yes	characteristic
30	#15688886	C₂²	1	2	yes	—
31	#15688886	C₂²	1	2	yes	—
32	#15688885	C₂²	1	2	yes	—
33	#15688885	C₂²	1	2	yes	—
34	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
35	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
36	C₄₇×#490	C₄	1	8	yes	complemented
37	C₂×#102×C₄₇	C₂²	1	2	yes	—
38	C₂×#102×C₄₇	C₂²	1	2	yes	—
39	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
40	C₂³×Dic₄₇	—	2	2	no	—
41	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
42	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
43	D₄×Dic₄₇	—	2	4	no	—
44	D₄×Dic₄₇	—	2	4	no	—
45	C₂×C₄⋊Dic₄₇	—	2	2	no	—
46	C₂×C₄⋊Dic₄₇	—	2	2	no	—
47	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
48	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
49	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
50	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
51	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
52	C₂×C₄×Dic₄₇	—	2	2	no	—
53	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
54	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
55	#13093945	—	2	4	no	—
56	#13093945	—	2	4	no	—
57	#13093934	—	2	2	no	—
58	#13093934	—	2	2	no	—
59	C₄×C₄₇⋊C₈	—	2	2	no	—
60	C₈×Dic₄₇	—	2	2	no	—
61	C₈×Dic₄₇	—	2	2	no	—
62	C₄₇⋊#95	—	2	2	no	—
63	C₄₇⋊#95	—	2	2	no	—
64	C₄₇⋊#95	—	2	2	no	—
65	C₄₇⋊#95	D₄	1	2	yes	—
66	C₄₇⋊#95	D₄	1	2	yes	—
67	C₂²×D₄×C₄₇	—	2	2	no	—
68	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
69	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
70	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
71	#127×C₄₇	—	2	2	no	—
72	#127×C₄₇	C₂×C₄	1	4	yes	—
73	#125×C₄₇	—	2	2	no	—
74	#125×C₄₇	C₂×C₄	1	4	yes	complemented
75	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
76	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
77	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
78	#102×C₄₇	C₂×C₄	1	8	yes	complemented
79	#102×C₄₇	C₂×C₄	1	8	yes	complemented
80	#97×C₄₇	C₂×C₄	1	4	yes	complemented
81	C₂⁴×C₄₇	—	2	2	no	—
82	C₂×D₄×C₄₇	—	2	8	no	—
83	C₂×D₄×C₄₇	—	2	2	no	—
84	C₂×D₄×C₄₇	—	2	2	no	—
85	C₂×D₄×C₄₇	—	2	2	no	—
86	C₂×D₄×C₄₇	—	2	2	no	—
87	C₂×D₄×C₄₇	—	2	2	no	—
88	C₂×D₄×C₄₇	—	8	2	no	—
89	C₂×D₄×C₄₇	—	8	2	no	—
90	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
91	C₂²×C₄×C₄₇	—	2	2	no	—
92	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
94	C₂²×Dic₄₇	—	2	2	no	—
95	C₂²×Dic₄₇	—	2	2	no	—
96	C₂²×Dic₄₇	—	4	4	no	—
97	C₂²×Dic₄₇	—	8	2	no	—
98	C₂²×Dic₄₇	—	8	2	no	—
99	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
100	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
101	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
102	C₂×C₈×C₄₇	—	2	1	no	—
103	C₂×C₈×C₄₇	—	2	1	no	—
104	C₂×C₈×C₄₇	—	2	1	no	—
105	C₂×C₈×C₄₇	—	2	1	no	—
106	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
107	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
108	C₄⋊C₄×C₄₇	—	2	8	no	—
109	C₄⋊C₄×C₄₇	—	2	2	no	—
110	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
111	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
112	C₄²×C₄₇	#41	1	2	yes	—
113	C₂²⋊Dic₄₇	—	4	4	no	—
114	C₂²⋊Dic₄₇	—	8	2	no	—
115	C₂²⋊Dic₄₇	—	8	2	no	—
116	C₄⋊Dic₄₇	—	2	2	no	—
117	C₄⋊Dic₄₇	—	2	2	no	—
118	C₄⋊Dic₄₇	—	2	2	no	—
119	C₄⋊Dic₄₇	—	2	2	no	—
120	C₄⋊Dic₄₇	—	8	2	no	—
121	C₄⋊Dic₄₇	—	8	2	no	—
122	C₄×Dic₄₇	—	2	1	no	—
123	C₄×Dic₄₇	—	2	1	no	—
124	C₄×Dic₄₇	—	8	2	no	—
125	C₄×Dic₄₇	#41	1	2	yes	—
126	C₄×Dic₄₇	#41	1	2	yes	—
127	C₂×C₄₇⋊C₈	—	2	1	no	—
128	C₂×C₄₇⋊C₈	—	2	1	no	—
129	C₂×C₄₇⋊C₈	—	2	1	no	—
130	C₂×C₄₇⋊C₈	—	2	1	no	—
131	C₂×C₄₇⋊C₈	#41	1	2	yes	—
132	C₂×C₄₇⋊C₈	#41	1	2	yes	—
133	C₂³×C₄₇	—	2	4	no	—
134	C₂³×C₄₇	—	4	2	no	—
135	C₂³×C₄₇	—	4	2	no	—
136	C₂³×C₄₇	—	4	2	no	—
137	C₂³×C₄₇	—	4	2	no	—
138	C₂³×C₄₇	—	4	2	no	—
139	C₂³×C₄₇	—	4	2	no	—
140	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
141	D₄×C₄₇	—	2	4	no	—
142	D₄×C₄₇	—	2	4	no	—
143	D₄×C₄₇	—	4	2	no	—
144	D₄×C₄₇	—	4	2	no	—
145	D₄×C₄₇	—	8	8	no	—
146	C₂×C₄×C₄₇	—	2	2	no	—
147	C₂×C₄×C₄₇	—	2	2	no	—
148	C₂×C₄×C₄₇	—	2	4	no	—
149	C₂×C₄×C₄₇	—	4	2	no	—
150	C₂×C₄×C₄₇	—	4	2	no	—
151	C₂×C₄×C₄₇	C₄×D₄	1	4	yes	—
152	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
154	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
156	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
157	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
158	C₂×Dic₄₇	—	2	2	no	—
159	C₂×Dic₄₇	—	2	2	no	—
160	C₂×Dic₄₇	—	2	1	no	—
161	C₂×Dic₄₇	—	2	1	no	—
162	C₂×Dic₄₇	—	2	2	no	—
163	C₂×Dic₄₇	—	2	2	no	—
164	C₂×Dic₄₇	—	4	2	no	—
165	C₂×Dic₄₇	—	4	2	no	—
166	C₂×Dic₄₇	—	4	2	no	—
167	C₂×Dic₄₇	—	4	2	no	—
168	C₂×Dic₄₇	—	4	2	no	—
169	C₂×Dic₄₇	—	4	2	no	—
170	C₂×Dic₄₇	—	8	8	no	—
171	C₂×Dic₄₇	#124	1	4	yes	—
172	C₈×C₄₇	—	2	2	no	—
173	C₈×C₄₇	—	2	2	no	—
174	C₄₇⋊C₈	—	2	2	no	—
175	C₄₇⋊C₈	—	2	2	no	—
176	#21652	—	47	1	no	maximal, Sylow
177	C₂²×C₄₇	—	4	4	no	—
178	C₂²×C₄₇	—	4	4	no	—
179	C₂²×C₄₇	—	4	4	no	—
180	C₂²×C₄₇	—	8	2	no	—
181	C₂²×C₄₇	—	8	2	no	—
182	C₂²×C₄₇	—	8	2	no	—
183	C₂²×C₄₇	—	8	2	no	—
184	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
185	C₂²×C₄₇	C₂×#124	1	1	yes	characteristic
186	C₂²×C₄₇	#532	1	1	yes	characteristic
187	C₂²×C₄₇	#576	1	2	yes	—
188	C₂²×C₄₇	#577	1	2	yes	—
189	C₄×C₄₇	—	2	4	no	—
190	C₄×C₄₇	—	4	4	no	—
191	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
192	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
193	C₄×C₄₇	#529	1	1	yes	characteristic
194	C₄×C₄₇	#529	1	1	yes	characteristic
195	Dic₄₇	—	2	4	no	—
196	Dic₄₇	—	4	1	no	—
197	Dic₄₇	—	4	1	no	—
198	Dic₄₇	—	8	2	no	—
199	Dic₄₇	—	8	2	no	—
200	C₂×#490	D₄₇	1	1	yes	characteristic
201	#2330	—	47	1	no	—
202	#2328	—	47	1	no	—
203	#1991	—	47	1	no	—
204	#1957	—	47	1	no	—
205	#1936	—	47	2	no	—
206	#1934	—	47	2	no	—
207	#1836	—	47	1	no	—
208	#1762	—	47	2	no	—
209	C₄×#102	—	47	2	no	—
210	#1726	—	47	1	no	—
211	C₂×C₄₇	—	8	4	no	—
212	C₂×C₄₇	C₄×#124	1	1	yes	characteristic
213	C₂×C₄₇	#2946	1	2	yes	—
214	C₂×C₄₇	#3136	1	2	yes	—
215	C₂×C₄₇	#3174	1	1	yes	characteristic
216	C₂×C₄₇	#3176	1	1	yes	characteristic
217	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
218	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
219	C₂×C₄×D₄	—	47	2	no	—
220	#490	Dic₄₇	1	8	yes	complemented
221	C₂×#102	—	47	2	no	—
222	C₂×#102	—	47	2	no	—
223	C₂×#102	C₂×D₄₇	1	2	yes	—
224	C₂×#102	C₂×D₄₇	1	2	yes	—
225	C₂×#97	—	47	1	no	—
226	C₂×#97	—	47	1	no	—
227	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
228	C₂×C₄×C₈	—	47	1	no	—
229	C₂×C₄×C₈	—	47	1	no	—
230	C₂×C₄×C₈	—	47	1	no	—
231	#390	—	47	2	no	—
232	#389	—	47	2	no	—
233	#389	—	94	2	no	—
234	#387	—	94	2	no	—
235	#386	—	94	2	no	—
236	#386	—	94	2	no	—
237	#384	—	47	1	no	—
238	#382	—	47	1	no	—
239	C₄×C₄⋊C₄	—	47	2	no	—
240	#376	—	47	1	no	—
241	#340	—	47	2	no	—
242	#340	—	47	2	no	—
243	#340	—	47	2	no	—
244	#340	—	47	2	no	—
245	C₄₇	#21652	1	1	yes	characteristic, complemented, Sylow
246	C₂²×D₄	—	2	2	no	—
247	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
248	C₂³×C₄	—	94	2	no	—
249	C₂²×C₈	—	47	1	no	—
250	C₂²×C₈	—	47	1	no	—
251	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
252	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
253	#127	—	2	2	no	—
254	#127	C₂×Dic₄₇	1	4	yes	—
255	#125	—	2	2	no	—
256	#125	C₂×Dic₄₇	1	4	yes	complemented
257	C₄×D₄	—	94	4	no	—
258	C₄×D₄	—	94	4	no	—
259	C₂×C₄⋊C₄	—	2	2	no	—
260	C₂×C₄⋊C₄	—	47	2	no	—
261	C₂×C₄⋊C₄	—	47	2	no	—
262	C₂×C₄⋊C₄	—	94	2	no	—
263	C₂×C₄⋊C₄	—	94	2	no	—
264	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
265	C₂×C₂²⋊C₄	—	94	2	no	—
266	C₂×C₂²⋊C₄	—	94	2	no	—
267	C₂×C₂²⋊C₄	—	94	2	no	—
268	C₂×C₄²	—	47	1	no	—
269	C₂×C₄²	—	47	1	no	—
270	C₂×C₄²	—	94	2	no	—
271	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
272	#102	—	94	4	no	—
273	#102	—	94	4	no	—
274	#102	C₂×Dic₄₇	1	8	yes	complemented
275	#102	C₂×Dic₄₇	1	8	yes	complemented
276	#97	—	94	2	no	—
277	#97	—	94	2	no	—
278	#97	C₂×Dic₄₇	1	4	yes	complemented
279	C₄×C₈	—	94	2	no	—
280	C₄×C₈	—	94	2	no	—
281	C₄×C₈	—	94	2	no	—
282	#95	—	47	2	no	—
283	#95	—	47	2	no	—
284	#95	—	94	2	no	—
285	#95	—	94	2	no	—
286	#95	—	94	2	no	—
287	C₂⁴	—	2	2	no	—
288	C₂×D₄	—	2	8	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	2	no	—
292	C₂×D₄	—	2	2	no	—
293	C₂×D₄	—	2	2	no	—
294	C₂×D₄	—	8	2	no	—
295	C₂×D₄	—	8	2	no	—
296	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
297	C₂²×C₄	—	2	2	no	—
298	C₂²×C₄	—	47	2	no	—
299	C₂²×C₄	—	47	1	no	—
300	C₂²×C₄	—	47	1	no	—
301	C₂²×C₄	—	94	2	no	—
302	C₂²×C₄	—	94	2	no	—
303	C₂²×C₄	—	376	2	no	—
304	C₂²×C₄	—	376	2	no	—
305	C₂²×C₄	—	188	4	no	—
306	C₂²×C₄	D₄×D₄₇	1	2	yes	—
307	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	1	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	—	47	2	no	—
313	C₂×C₈	—	47	2	no	—
314	C₂×C₈	—	94	1	no	—
315	C₂×C₈	—	94	1	no	—
316	C₂×C₈	—	94	1	no	—
317	C₂×C₈	—	94	1	no	—
318	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
319	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
320	C₄⋊C₄	—	2	8	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	94	2	no	—
323	C₄⋊C₄	—	94	2	no	—
324	C₄⋊C₄	—	94	2	no	—
325	C₄⋊C₄	—	94	2	no	—
326	C₄⋊C₄	—	376	2	no	—
327	C₄⋊C₄	—	376	2	no	—
328	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
329	C₂²⋊C₄	—	376	2	no	—
330	C₂²⋊C₄	—	376	2	no	—
331	C₂²⋊C₄	—	188	4	no	—
332	C₄²	—	47	2	no	—
333	C₄²	—	47	2	no	—
334	C₄²	—	94	1	no	—
335	C₄²	—	94	1	no	—
336	C₄²	—	376	2	no	—
337	C₄²	#10625352	1	2	yes	—
338	C₄²	C₂²×Dic₄₇	1	2	yes	—
339	C₂³	—	2	4	no	—
340	C₂³	—	4	2	no	—
341	C₂³	—	4	2	no	—
342	C₂³	—	4	2	no	—
343	C₂³	—	4	2	no	—
344	C₂³	—	4	2	no	—
345	C₂³	—	4	2	no	—
346	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
347	D₄	—	2	4	no	—
348	D₄	—	2	4	no	—
349	D₄	—	4	2	no	—
350	D₄	—	4	2	no	—
351	D₄	—	8	8	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	4	no	—
355	C₂×C₄	—	4	2	no	—
356	C₂×C₄	—	4	2	no	—
357	C₂×C₄	—	47	4	no	—
358	C₂×C₄	—	94	2	no	—
359	C₂×C₄	—	94	2	no	—
360	C₂×C₄	—	94	2	no	—
361	C₂×C₄	—	94	1	no	—
362	C₂×C₄	—	94	1	no	—
363	C₂×C₄	—	94	2	no	—
364	C₂×C₄	—	376	8	no	—
365	C₂×C₄	—	188	2	no	—
366	C₂×C₄	—	188	2	no	—
367	C₂×C₄	—	188	2	no	—
368	C₂×C₄	—	188	2	no	—
369	C₂×C₄	—	188	2	no	—
370	C₂×C₄	—	188	2	no	—
371	C₂×C₄	D₄×Dic₄₇	1	4	yes	—
372	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
373	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
374	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
375	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
376	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
377	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
378	C₈	—	2	2	no	—
379	C₈	—	2	2	no	—
380	C₈	—	94	2	no	—
381	C₈	—	94	2	no	—
382	C₂²	—	4	4	no	—
383	C₂²	—	4	4	no	—
384	C₂²	—	4	4	no	—
385	C₂²	—	8	2	no	—
386	C₂²	—	8	2	no	—
387	C₂²	—	8	2	no	—
388	C₂²	—	8	2	no	—
389	C₂²	C₂×D₄×Dic₄₇	1	1	yes	characteristic
390	C₂²	#124×D₄₇	1	1	yes	characteristic
391	C₂²	#15689672	1	1	yes	characteristic
392	C₂²	#15689927	1	2	yes	—
393	C₂²	#15689933	1	2	yes	—
394	C₄	—	2	4	no	—
395	C₄	—	4	4	no	—
396	C₄	—	94	4	no	—
397	C₄	—	376	2	no	—
398	C₄	—	376	2	no	—
399	C₄	—	188	1	no	—
400	C₄	—	188	1	no	—
401	C₄	#41×Dic₄₇	1	1	yes	characteristic
402	C₄	#41×Dic₄₇	1	1	yes	characteristic
403	C₄	#15689652	1	1	yes	characteristic
404	C₄	#15689652	1	1	yes	characteristic
405	C₂	—	8	4	no	—
406	C₂	#124×Dic₄₇	1	1	yes	characteristic
407	C₂	#20252221	1	2	yes	—
408	C₂	#20253743	1	2	yes	—
409	C₂	#20254015	1	1	yes	characteristic
410	C₂	#20254037	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₂×C₄₇×#490	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂×#127×C₄₇	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₂×#490	D₄₇
hypocenter	C₄₇	#21652
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#490

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20246130	C₂	semidirect
3. #20244354	C₂	semidirect
5. #20244087	C₂	semidirect
6. #20244073	C₂	semidirect
7. #20243522	C₂	semidirect
8. #20243215	C₂	semidirect
9. #102×Dic₄₇	C₂	semidirect
10. #20243076	C₂	semidirect
36. C₄₇×#490	C₄	semidirect
74. #125×C₄₇	C₂×C₄	semidirect
78. #102×C₄₇	C₂×C₄	semidirect
79. #102×C₄₇	C₂×C₄	semidirect
80. #97×C₄₇	C₂×C₄	semidirect
220. #490	Dic₄₇	semidirect
245. C₄₇	#21652	semidirect
256. #125	C₂×Dic₄₇	semidirect
274. #102	C₂×Dic₄₇	semidirect
275. #102	C₂×Dic₄₇	semidirect
278. #97	C₂×Dic₄₇	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20246130	2
#20246114	2
#20244354	2
#20244195	2
#20244087	2
#20244073	2
#20243522	2
#20243215	2
#102×Dic₄₇	2
#20243076	2
C₂×C₄₇×#490	2
#21652	47